Solve 2^4-9left(8-6(3^2-6*5-7left(9+7^3right)+10)-5right)+8left(36/6-5*2*3right)

$${ 2 }^{ 4 } -9 \left( 8-6( { 3 }^{ 2 } -6 \cdot 5-7 \left( 9+ { 7 }^{ 3 } \right) +10)-5 \right) +8 \left( \frac{ 36 }{ 6 } -5 \cdot 2 \cdot 3 \right)$$

Evaluate

$$-133853$$

Solution Steps

Calculate 2 to the power of 4 and get 16.

$$16-9\left(8-6\left(3^{2}-6\times 5-7\left(9+7^{3}\right)+10\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Calculate 3 to the power of 2 and get 9.

$$16-9\left(8-6\left(9-6\times 5-7\left(9+7^{3}\right)+10\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Multiply 6 and 5 to get 30.

$$16-9\left(8-6\left(9-30-7\left(9+7^{3}\right)+10\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Subtract 30 from 9 to get -21.

$$16-9\left(8-6\left(-21-7\left(9+7^{3}\right)+10\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Calculate 7 to the power of 3 and get 343.

$$16-9\left(8-6\left(-21-7\left(9+343\right)+10\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Add 9 and 343 to get 352.

$$16-9\left(8-6\left(-21-7\times 352+10\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Multiply 7 and 352 to get 2464.

$$16-9\left(8-6\left(-21-2464+10\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Subtract 2464 from -21 to get -2485.

$$16-9\left(8-6\left(-2485+10\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Add -2485 and 10 to get -2475.

$$16-9\left(8-6\left(-2475\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Multiply 6 and -2475 to get -14850.

$$16-9\left(8-\left(-14850\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

The opposite of -14850 is 14850.

$$16-9\left(8+14850-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Add 8 and 14850 to get 14858.

$$16-9\left(14858-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Subtract 5 from 14858 to get 14853.

$$16-9\times 14853+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Multiply 9 and 14853 to get 133677.

$$16-133677+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Subtract 133677 from 16 to get -133661.

$$-133661+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Divide 36 by 6 to get 6.

$$-133661+8\left(6-5\times 2\times 3\right)$$

Multiply 5 and 2 to get 10.

$$-133661+8\left(6-10\times 3\right)$$

Multiply 10 and 3 to get 30.

$$-133661+8\left(6-30\right)$$

Subtract 30 from 6 to get -24.

$$-133661+8\left(-24\right)$$

Multiply 8 and -24 to get -192.

$$-133661-192$$

Subtract 192 from -133661 to get -133853.

$$-133853$$

Factor

$$-133853$$